Approximations in the PE-method: Phase and level errors in a downward refracting atmosphere

Marta Galindo Arranz

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    Abstract

    Two differenct sources of errors may occur in the implementation of the PE methods; a phase error introduced in the approximation of a pseudo-differential operator and an amplitude error generated from the starting field. First, the inherent phase errors introduced in the solution are analyzed for a case where the normal mode solution to the wave equation is valid, when the sound is propagated in a downward refracting atmosphere. The angular limitations for the different parabolic approximations are deduced, and calculations showing shifts in the starter as the second source of error is investigated. Numerical and analytical starters are compared for source locations close to the ground. The spectral properties of several starters are presented.
    Original languageEnglish
    Title of host publicationSeventh International Symposium on Long Range Sound Propagation
    Place of PublicationEcully
    PublisherLaboratoire de Mécanique des Fluides et d'Acoustique, Ecole Centrale de Lyon
    Publication date1996
    Pages235-255
    Publication statusPublished - 1996
    Event7th International Symposium on Long Range Sound Propagation - Lyon, France
    Duration: 24 Jul 199626 Jul 1996
    Conference number: 7

    Conference

    Conference7th International Symposium on Long Range Sound Propagation
    Number7
    CountryFrance
    CityLyon
    Period24/07/199626/07/1996

    Cite this

    Arranz, M. G. (1996). Approximations in the PE-method: Phase and level errors in a downward refracting atmosphere. In Seventh International Symposium on Long Range Sound Propagation (pp. 235-255). Laboratoire de Mécanique des Fluides et d'Acoustique, Ecole Centrale de Lyon.